The locus of the point from which 2 tangents are drawn,inclined to each other at a an angle 'x',to the ellipse x^2a^2+y^2b^2 is

For this problem take the equation of tangent to an ellipse in the slope form.Then see that you convert  the equation in terms of a quadratic in m which is the slope of tangent. As it is a quadratic we know the sum and product of two slopes. Apply the formula for angle between two lines which i hope u know it. The angle is known so you can find the locus. Hope this helps you.